{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib import cm\n",
    "from matplotlib.ticker import LinearLocator, FormatStrFormatter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "生成周期性，带噪音的周期性数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 399,
   "metadata": {},
   "outputs": [],
   "source": [
    "def normallyDistributeInZero2One():\n",
    "    '''截取标准正态部分-3~3个σ的部分。并将其转化为0~1的区间'''\n",
    "    while 1:\n",
    "        out = np.random.randn()\n",
    "        if -3 < out < 3:\n",
    "            break\n",
    "    return out/6+0.5\n",
    "\n",
    "\n",
    "def generatePeriodicData(N,fs=1/800,f1=1/10,f2=1/70,f3=1/5,a=1,b=1,c=0.5,d=0.1):\n",
    "    '''生成样本量为N的，周期性变化的因变量'''\n",
    "    x = list(np.zeros(N*10,dtype=float))\n",
    "    for i in range(len(x)):\n",
    "        x[i] = a*np.sin(2*np.pi*f1/fs*i)+b*np.sin(2*np.pi*f2/fs*i)+c*np.sin(2*np.pi*f3/fs*i)+d*normallyDistributeInZero2One()\n",
    "    return x\n",
    "\n",
    "def generatePeriodicData_(N,fs=1/800,f1=1/10,f2=1/70,f3=1/5,a=1,b=1,c=0.5,d=0.1):\n",
    "    '''\n",
    "    生成样本量为N的，周期性变化的因变量\n",
    "    参数基本没用上，原本的参数得到的结果会k=1.没法算。\n",
    "    '''\n",
    "    x = list(np.zeros(N*10,dtype=float))\n",
    "    for i in range(len(x)):\n",
    "        x[i] = a*np.sin(2*np.pi*i/10)+b*np.sin(2*np.pi*0.5*i)+d*normallyDistributeInZero2One()\n",
    "    return x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "实现LMS矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 354,
   "metadata": {},
   "outputs": [],
   "source": [
    "def initMatrix(L,N):\n",
    "    '''生成L行N列的全零矩阵'''\n",
    "    return np.matrix(np.zeros(L*N,dtype=float).reshape(L,N))\n",
    "\n",
    "def rAndAlpha(r=[0,1],alpha=1):\n",
    "    '''[0,1]范围内均匀随机数+alpha'''\n",
    "    return np.random.uniform(r[0],r[1])+alpha\n",
    "\n",
    "def localMaximaScalogram(data,r=[0,1],alpha=1):\n",
    "    '''计算LMS'''\n",
    "    N = len(data)\n",
    "    L = int(np.ceil(N/2)-1)\n",
    "    m = initMatrix(L,N)\n",
    "    for k in range(1,L+1):\n",
    "        for i in range(1,N+1):\n",
    "            if (i-k-1 < 1) or (i+k-1 > N):\n",
    "                m[k-1,i-1] = rAndAlpha(r,alpha)\n",
    "            else:\n",
    "                xi_1 = data[i-1-1]\n",
    "                xi_k_1 = data[i-k-1-1]\n",
    "                xipk_1 = data[i+k-1-1]\n",
    "                if (xi_1 > xi_k_1) and (xi_1 > xipk_1):\n",
    "                    pass\n",
    "                else:\n",
    "                    m[k-1,i-1] = rAndAlpha(r,alpha)\n",
    "    return m\n",
    "\n",
    "def drawPic(xRange,yRange,out):\n",
    "    '''画图呈现LMS矩阵的结果'''\n",
    "    fig = plt.figure()\n",
    "    ax = fig.gca(projection='3d')\n",
    "    \n",
    "    # Make data.\n",
    "    X = xRange\n",
    "    Y = yRange\n",
    "    X, Y = np.meshgrid(X, Y)\n",
    "    Z = np.array(out)\n",
    "    \n",
    "    # Plot the surface.\n",
    "    surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm,\n",
    "                        linewidth=0, antialiased=False)\n",
    "    \n",
    "    # Customize the z axis.\n",
    "    ax.set_zlim(-1.01, 1.01)\n",
    "    ax.zaxis.set_major_locator(LinearLocator(10))\n",
    "    ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n",
    "    \n",
    "    # Add a color bar which maps values to colors.\n",
    "    fig.colorbar(surf, shrink=0.5, aspect=5)\n",
    "    \n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "计算 λ = arg min(γ)\n",
    "\n",
    "生成Mr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 369,
   "metadata": {},
   "outputs": [],
   "source": [
    "def row_wiseSummationOfLMS(LMSmatrix):\n",
    "    '''LMS矩阵行求和，输出向量'''\n",
    "    return np.array(sum(LMSmatrix.T))[0]\n",
    "\n",
    "def calLambda(gammaArray):\n",
    "    minGamma = min(gammaArray)\n",
    "    lbd = list(gammaArray).index(minGamma)+1\n",
    "    return lbd\n",
    "\n",
    "def LMSmatrix2Mr(LMSmatrix):\n",
    "    gammaArray = row_wiseSummationOfLMS(LMSmatrix)\n",
    "    lbd = calLambda(gammaArray)\n",
    "    return LMSmatrix[:lbd,:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "计算列的标准差，为0的索引为峰值所在位置"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 392,
   "metadata": {},
   "outputs": [],
   "source": [
    "def column_wiseSigma(Mr):\n",
    "    '''计算Mr矩阵每一列的标准差'''\n",
    "    return np.array(np.std(Mr,axis=0))[0]\n",
    "\n",
    "def getPeak(MrStdArray):\n",
    "    '''获得标准差为0的列的索引（从1开始）'''\n",
    "    indexList = []\n",
    "    for i in range(len(MrStdArray)):\n",
    "        if MrStdArray[i] == 0:\n",
    "            indexList.append(i+1)\n",
    "    return indexList\n",
    "\n",
    "def finalPic(data):\n",
    "    '''作图：周期性数据和计算出的峰值'''\n",
    "    LMSmatrix = localMaximaScalogram(data)\n",
    "    Mr = LMSmatrix2Mr(LMSmatrix)\n",
    "    peak = getPeak(column_wiseSigma(Mr))\n",
    "    newpeak = np.array(peak)-2*np.ones(len(peak))\n",
    "    peakheigh = [data[int(i)] for i in newpeak]\n",
    "    plt.plot(data)\n",
    "    plt.plot(newpeak,peakheigh,'o')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 419,
   "metadata": {},
   "outputs": [],
   "source": [
    "def allPic(n):\n",
    "    '''绘制文章种出现的结果图'''\n",
    "    \n",
    "    #有噪音的周期性数据图\n",
    "    out = generatePeriodicData(n)\n",
    "    plt.plot(out)\n",
    "    \n",
    "    # LMS图\n",
    "    outLMS = localMaximaScalogram(out)\n",
    "    picLMS = localMaximaScalogram(out,r=[0,0],alpha=0.5)\n",
    "    drawPic(range(1,len(out)+1),range(1,int(np.ceil(len(out)/2))),picLMS)\n",
    "    \n",
    "    # 随k变化，列求和图\n",
    "    gammaArray = row_wiseSummationOfLMS(outLMS)\n",
    "    plt.plot(gammaArray)\n",
    "    # 打印k取多少时，行求和最小\n",
    "    print(calLambda(gammaArray))\n",
    "    # 只取前k行的Mr矩阵，这个Mr变量每直接用到\n",
    "    Mr = LMSmatrix2Mr(outLMS)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 422,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "finalPic(generatePeriodicData(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 424,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\yyw\\AppData\\Local\\Programs\\Python\\Python37\\lib\\site-packages\\ipykernel_launcher.py:31: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "allPic(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.7.9 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.9"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "f5cc143953781c4ad53145bb2a5f7a8bab1a9f269133fb16459d97cff0e36bb0"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
